Nonlinear Hall effect in Rashba systems with hexagonal warping

Abstract

Rashba spin-orbit coupled systems are an important class of materials noted for diverse fundamental and applied phenomena. Recently, the emergence of non-linear Hall effect under conditions of time-reversal symmetry has been discovered in materials with broken inversion symmetry. In this work, we study the second- and third-order Hall response in Rashba systems with hexagonal warping. Starting with a low-energy model, we obtain the analytic expressions and discover the unique dipole profile in Rashba systems with hexagonal warping. Furthermore, we extend the analysis using a realistic tight-binding model. Next, we predict the existence of a third-order Hall effect in these systems, and calculate the Berry connection polarizability tensor analytically. We also show how the model parameters affect the third-order conductivity. Our predictions can help in the experimental realization of Berry curvature multipole physics in Rashba materials with hexagonal warping, and provide a new platform for engineering the non-linear Hall effects.

arXiv commentPublished version

References in corpus (26)

• Berry Phase Effects on Electronic Properties
• New Perspectives for Rashba Spin-Orbit Coupling
• Topological Materials: Weyl Semimetals
• Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
• Hexagonal Warping Effects in the Surface States of Topological Insulator Bi${}_2$Te${}_3$
• Observation of the nonlinear Hall effect under time reversal symmetric conditions
• Nonlinear Hall Effects
• The Berry curvature dipole in Weyl semimetal materials: an ab initio study
• Band signatures for strong nonlinear Hall effect in bilayer WTe${}_2$
• Strongly enhanced Berry dipole at topological phase transitions in BiTeI
• Giant spontaneous Hall effect in a nonmagnetic Weyl-Kondo semimetal
• Berry Curvature Dipole in Strained Graphene: a Fermi Surface Warping Effect
• Nonlinear Hall effect with time-reversal symmetry: Theory and material realizations
• Strain Tunable Berry Curvature Dipole, Orbital Magnetization and Nonlinear Hall Effect in WSe2 Monolayer
• Berry connection polarizability tensor and third-order Hall effect
• Engineering Weyl phases and nonlinear Hall effects in T${}_d$-MoTe${}_2$
• Nonlinear transport in Weyl semimetals induced by Berry curvature dipole
• Non-linear Hall effect in three-dimensional Weyl and Dirac semimetals
• Highly tunable nonlinear Hall effects induced by spin-orbit couplings in strained polar transition-metal dichalcogenides
• Tight-binding theory of spin-orbit coupling in graphynes
• Longitudinal and spin-Hall conductance of a two-dimensional Rashba system with arbitrary disorder
• Third-order Hall effect in the surface states of a topological insulator
• Electrically switchable giant Berry curvature dipole in silicene, germanene and stanene
• Non-Linear Hall Effect in Multi-Weyl Semimetals
• Tunable Topology and Berry Curvature Dipole in Transition Metal Dichalcogenide Janus Monolayers
• Topological Properties of Bulk and Bilayer 2M WS${}_2$: A First-Principles Study

Cited by in corpus (5)

• Intrinsic nonlinear Hall effect in two-dimensional honeycomb topological antiferromagnets
• Polarization and third-order Hall effect in III-V semiconductor heterojunctions
• Electric field induced second-order anomalous Hall transport in unconventional Rashba systems
• Chirality-tunable non-linear Hall effect
• Hexagonal Warping Control of Exceptional Points in Topological Insulator--Ferromagnetic Heterojunctions